Norm-compatible families of cohomology classes for Shimura varieties, and other arithmetic symmetric spaces, play an important role in Iwasawa theory automorphic forms. The aim this note is to give a systematic approach proving “vertical” norm-compatibility relations such (where the level varies at fixed prime p), treating case Betti étale once, revealing unexpected relation spherical varieties...

the use of structural adhesives in automotive structures has been increased recently for their role in noise, vibration and harshness (nvh). therefore, the dynamic behavior of structures containing bonded joints has become an area with numerous investigations over the past decades. development of accurate formulations capable of representing adhesively bonded joint dynamics is a step forward in...

We initiate the study of incentive-compatible forecasting competitions in which multiple forecasters make predictions about one or more events and compete for a single prize. have two objectives: (1) to incentivize report truthfully (2) award prize most accurate forecaster. Proper scoring rules truthful reporting if all are paid according their scores. However, incentives become distorted only ...